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Unsteady free convection boundary layer flows of a Bingham fluid in cylindrical porous cavities
Citation
Rees, DAS and Bassom, AP, Unsteady free convection boundary layer flows of a Bingham fluid in cylindrical porous cavities, Transport in Porous Media, 127, (3) pp. 711-728. ISSN 0169-3913 (2019) [Refereed Article]
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Copyright Statement
Copyright 2018 The Authors. Licensed under Creative Commons Attribution 4.0 International (CC BY 4.0) https://creativecommons.org/licenses/by/4.0/
DOI: doi:10.1007/s11242-018-1222-z
Abstract
We consider two unsteady free convection flows of a Bingham fluid when it saturates a porous medium contained within a vertical circular cylinder. The cylinder is initially at a uniform temperature, and such flows are then induced by suddenly applying either a new constant temperature or a nonzero heat flux to the exterior surface. As time progresses, heat conducts inwards and this may or may not overcome the yield threshold for flow. For the constant temperature case, flow begins immediately should the parameter, Rb, which is a nondimensional yield parameter, be sufficiently large. The ultimate fate, though, is full immobility as the cylinder eventually tends towards a new constant temperature. For the constant heat flux case, the fluid remains immobile but will begin to flow eventually should Rb be sufficiently large. The two cases have different critical values for Rb.
Item Details
Item Type: | Refereed Article |
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Keywords: | porous media, boundary layer, unsteady flow, convection, Bingham fluid, yield stress, vertical cylinder, porous cavities |
Research Division: | Mathematical Sciences |
Research Group: | Applied mathematics |
Research Field: | Theoretical and applied mechanics |
Objective Division: | Expanding Knowledge |
Objective Group: | Expanding knowledge |
Objective Field: | Expanding knowledge in the mathematical sciences |
UTAS Author: | Bassom, AP (Professor Andrew Bassom) |
ID Code: | 131523 |
Year Published: | 2019 (online first 2018) |
Web of Science® Times Cited: | 3 |
Deposited By: | Mathematics and Physics |
Deposited On: | 2019-03-21 |
Last Modified: | 2021-06-01 |
Downloads: | 25 View Download Statistics |
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